Abstract

This paper presents a novel meta-heuristic approach based on the crow search algorithm (CSA) for solving the optimal reactive power dispatch (ORPD) problem. The ORPD is formulated as a nonlinear optimization problem designed to minimize power losses while satisfying the required constraints. The CSA is a recent efficient approach that depends on the intelligent behavior of crows. Nowadays, it has been used to solve many complex engineering optimization problems where it has proven its power and effectiveness. Motivated by the high ability in solving complex optimization problems and faster convergence of CSA, this paper proposes a novel approach to solve the ORPD problem. Furthermore, the settings of control variables such as generator terminal voltage, tap changer positions, and capacitor banks are determined to achieve the minimum total power loss while satisfying a set of nonlinear constraints. The accuracy and the performance of the proposed algorithm were performed and compared to other meta-heuristic algorithms reported in the literature. Several tests are applied on two standard test systems, including IEEE 14-bus and IEEE 30-bus as well as on the large-scale Tunisian 86-bus system. In addition, a sensitivity analysis has been performed to valid the performance of the CSA in solving the ORPD problem. We demonstrate that the proposed CSA provides a supremacy results and statistically significant in solving ORPD problems (for IEEE-14 bus p < 0.0006 , for IEEE-30 bus p < 0.006 , and for Tunisian 86-bus p < 0.0000001 ).

Highlights

  • Optimal reactive power dispatch (ORPD) is one of the strategic problems in which inappropriate management can compromise the security and the reliability of the power systems [1,2]

  • We show that adequate control of reactive power production contributes to the reduction of real power losses, and ensure the voltage profile improvement of all buses in power systems

  • The proposed approach based on Crow Search Algorithm (CSA) for solving the optimal reactive power dispatch (ORPD) problem was applied to the standard

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Summary

Introduction

Optimal reactive power dispatch (ORPD) is one of the strategic problems in which inappropriate management can compromise the security and the reliability of the power systems [1,2]. Different trends in the literature are presented to solve the ORPD problem, where initial attempts have resorted to classical optimization methods such as the Newton–Raphson method [14], quadratic programming [15], interior point method [16] and linear programming [17] These methods cannot handle the complexity of the ORPD problem where they have difficulties dealing with nonlinear functions, discrete variables and converge to the local minima, and were ineffective to resolve the ORPD problem. In [20], Differential Evolution (DE) algorithm is employed to minimize power losses, improve the voltage profile, and enhance the voltage stability This approach addresses the ORPD problem as a single objective optimization problem.

Problem Formulation
Variables
Constraints
ORPD Problem Using Crow Search Algorithm
Application and Results
IEEE 14-Bus Test Power System
IEEE 30-Bus Test Power System
A Real Case Study
Sensitivity Analysis
Conclusions
Full Text
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